This study investigated teachers' use of knowledge from research on children's
mathematical thinking and how their students' achievement is influenced as a result. Twenty …

Using meta-analysis, the results of 60 studies were combined to determine the effectiveness
of mathematics instruction with manipulative materials. Students ranged in age from …

This study examined relationships among first-grade teachers' pedagogical content beliefs,
teachers' pedagogical content knowledge, and students' achievement in mathematics …

Recent research indicates that to promote meaningful learning, mathematical instruction
should begin with experience that are real to pupil and then proceed to the symbolic level …

4-year-old's knowledge of counting and cardinality-the last count word reached represents
the numerosity of the set-was tested in 2 experiments. Experiment 1 investigated the nature …

When students are given a nonroutine mathematical problem to solve, their reactions often
include a lot of emotion. If they work on the problem over an extended period of time, the …

This book was written as a tool to help teachers of prekindergarten to grade 3 make use of
recent developments in the cognitive psychology of mathematical learning. Chapters …

The research evaluated the effectiveness of rule-based versus single-step (non-rule-based)
approaches to training skills in a classroom setting. Trainees received three days of either …

Is the time ripe to develop technologically based versions of cognitive psychological
methods and to apply them to problems of educational assessment? In this article, I point to …

The problem-solving strategies used by schooled and unschooled Nigerian children to solve
simple addition and subtraction word problems were studied using clinical interviews to find …